a) You deposit $200 monthly into an annuity with the goal of accumulating $180,000 after 30 years. What annual rate, compounded monthly, is required to accomplish this?

Q: Find the present value of a perpetuity paying $50,000 annually if the discount rate is 6%.

A: In the given question we require to calculate the present value of a perpetuity. In case of…

Q: Find the payment that should be used for the annuity due whose future value is given. Assume that…

A: Given,  The future value of annuity due is $15,000 Quarterly payments are made for 12 years Interest…

Q: What is the annual rate of return on a perpetuity that costs $500,000 and pays $2,000 monthly?

A: Following details are given in the question: Cost of perpetuity = $500000 Monthly payment (cashflow)…

Q: 4.  a.)  What is the future value of an annuity due with an annual payment of $1,500 for four years…

A: Future Value is that amount which includes the interest earned and investment value which is…

Q: At the end of each month for the next ten years you will receive cash flows of $75.  If the…

A: Present value of annuity = 75{1-(1+0.072)^-120}/0.072

Q: Use the ordinary annuity formula to determine the accumulated amount in the annuity.   ​$500…

A: A study that proves that the future worth of the money is lower than its current value due to…

Q: What is the present value of an annuity that pays $58 per year for 13 years and an additional $1,000…

A: We can make use of the financial calculator to obtain the present value, PV. Inputs: I/Y = rate =…

Q: A) Use the appropriate formula to find the value of the annuity. B) Find the interest. Periodic…

A: Part (a)If an annuity A is paid at the end of period over N periods and bears a discount (interest)…

Q: Use the simple interest formula message to find the future value of an ordinary annuity of $3300…

A: An annuity is a payment series that provides the holder with future cash flows in exchange for a…

Q: Find the future value of the following ordinary annuity. Payments are made and interest is…

A: STEP 1 When assuming a specific rate of return, or discount rate, the future value of an annuity is…

Q: An ordinary annuity paying P1,811 at the end of each year for 15 years, is to be converted to an…

A: given, ordinary annuity: A=p 1811 n =15 r=10%

Q: On January 1, 2021, you deposited $6,100 in a savings account. The account will earn 10 percent…

A: Interest received at the end of each year will result in the compounding effect on the deposit at…

Q: Assume that you make monthly payments of $ 625 into an ordinary annuity paying 4% compounded…

A:

Q: An annual perpetuity of $10,000 has a present value of $250,000.  What is the annual interest rate?

A: Present value of an annual perpetuity = Annual cash flow/Interest rate Interest rate = Annual cash…

Q: What’s the interest rate of a 5-year, annual $4,800 annuity with present value of $20,000?

A: Given; Present value of annual payments : $20,000 Time period (r): 5 years Annuity: $4,800

Q: What is the future value of a 12%, 10 year annuity due that pays 1,000 each year.

A: The objective of the question is to calculate the future value of an annuity due. An annuity due is…

Q: Find the future value of an annuity of $1300 paid at the end of each year for 15 years, if interest…

A: Annuity is the payment of fixed amount at the end(ordinary) or beginning(due) of a financial period…

Q: Find the future value of the following ordinary annuities. Payments are made and interest is…

A: The Future Value of an Ordinary Annuity refers to the concept which gives out the compounded or…

Q: 1. The annual rent of a perpetuity is $1000, payable in semi-annual stallments. Find the present…

A: The present value is the present worth of the amount that will be paid or received at present or…

Q: What’s the present value of a perpetuity that pays $300 per year if the appropriate interest rate is…

A: present value of a perpetuity = Annual payment/Discount rate

Q: What is the future value of a 6%, 10-year ordinary annuity that pays $200 each year?  If this were…

A: The future value of annuity is calculated using the formula below:

Q: Suppose an annuity at 5% compounded semi-annually will pay $5000 at the end of each 6-month period…

A: The annuity refers to the series of regular payments that last for a specific period of time. The…

Q: What is the present value of a 15 year annuity with the first payment of $65,000 (all payments are…

A: present value of a 15 year annuity with the first payment of $65,000 (all payments are the same…

Q: Calculate the future value of an ordinary annuity that pays $2,350 at 6% for 6 years. Also determine…

A: Annuity is the series of periodic payments. If the annuity payment is made at the end of the periods…

Q: A perpetuity pays $100 each year, with the first payment scheduled two years from now. Assume that…

A: Amount of $100 will be paid by a perpetuity and that will be started from year 2 (two year from…

Q: Suppose P1500 is deposited at the end of each year for the next 6 years in an account paying 8%…

A: Formula:  Periodic Deposit at the end of the Year,…

Q: If you want to be paid from a 15 year ordinary annuity with a guaranteed rate of 4.277% compounded…

A: Annual payment (C) = $10,000 Period (n) = 15 Years rate (r) = 0.04277 (i.e. 4.277%) Present value or…

Q: Find the present value of an annuity with monthly payments of $8,333.33, at an interest rate of 5.5%…

A: Present value of annuity cash flow = whereA = Periodical cash flow = monthly payment = $8,333.33i =…

Q: a. Calculate the annual cash flows ( annuity payments) from a fixed - payment annuity if the present…

A: Annual cash flows refer to the amount that defines the inflow and outflow of the cash during the…

Q: Compare the two given annuity situations below. What conclusion can you draw from the information,…

A: The future value can be resulted on two bases: Regular annuity series payment or lump sum payment.…

Q: What is the present value of a Annuity where the investor receives $10,000 every year for 10 years…

A: Annuity = a = $10,000Time = t = 10 yearsInterest rate = r = 4.5%

Q: Assume that today you borrowed $30,000 at 4.25% compounded monthly and will pay off the loan with…

A: The given problem relates to concept of annuity. An annuity is a series of uniform cash flows over a…

Q: Determine the present value of an annuity due of $5,000 per year for 15 years discounted back to the…

A: Using excel PV function

Q: What is the annual rate of return on a perpetuity that costs $500,000 and pays $1,000 monthly?

A: Following details are given in the question: Cost of perpetuity = $500000 Monthly payment (cashflow)…

Q: A 20-year annuity pays $1,200 per month, and payments are made at the end of each month. The…

A: The concept of time value of money will be used and applied here.   An annuity is a stream of…

Q: A perpetuity will make a sequence of annual payments of 2800, 3000, 3200, ..., with the first…

A: A perpetuity is a type of annuity. To be more specific a perpetuity is that annuity that goes on…

Q: Find the NPV and PI of an annuity that pays $500 per year for eight years and costs $2,500. Assume a…

A: 1.NPV means Net present value.It is calculated as follows:-NPV = Present value of cash inflows -…

Q: At the end of each month for the next ten years you will receive cash flows of $50.  If the…

A: Annuity refers to the contract between an insurer and the insurance company in which a fixed…

Effective Interest Rate

The term interest rate can be defined as the amount that is charged by the lender as a percentage on the principal amount. Interest rate which is charged annually is known as annual percentage rate.